The Yellow Cab Company charges just $0.25 a mile, but it costs $5 to get in the cab. Express
Cab charges no fee to get in the cab, but $1.50 a mile for the ride.
a) If you are going 7 miles, which cab company should you call?
b)
If you are going 3 miles, which cab company should you call?
c)
For what length of drive is the cost equal?

Answer:

3.25 pounds

Step-by-step explanation:

x + 4 (1/2) + 3 (1/2) = 11

x + 4.25 + 3.5 = 11

x + 7.75 = 11

x = 11 - 7.75

x = 3.25 pounds

Answer:

x+14=-6

x= -6 - 14

x= - 20

Answer:

[tex]m_1.m_2 = -1[/tex]

Step-by-step explanation:

Given

2 lines of same slope

A different perpendicular line

Required

Determine the relationship between the lines

We have that, line 1 and line 2 have the same slope;

Represent their slope with m₁

For the third line

Represent the slope with m₂

in coordinate geometry, the relationship between perpendicular line is

[tex]m_1.m_2 = -1[/tex]

Hence, the required relationship is [tex]m_1.m_2 = -1[/tex]

Answer:

-22 /3 + (-94/5)

-22/3 + -89/5

Step-by-step explanation:

-110/15 + - 257/15

-367/15

Answer:

The answer is 4.38.

Step-by-step explanation:

You take the experimental value and subtract the accepted value from it. then take that and divide it by the accepted value. When you get your you move the decimal point and round if needed.

Answer:A=15 B=7 c=7 Clare's cousin is7

Step-by-step explanation:

Answer:

7x7 + 49 so 7+7+7+7+7+7+7

Step-by-step explanation:

Answer:

arc AB = 44.5

Step-by-step explanation:

arc length AB = (Ф /360) * 2πr

Ф = 150°

r = 34/2 = 17 cm

plug in values

arc AB = (150/360) * 2 * π * 17

arc AB = 44.5

Answer:

[tex]\Huge \boxed{\mathrm{44.51 \ centimeters}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Length of an arc formula:

[tex]\displaystyle \frac{\theta }{360} \cdot \pi d[/tex]

The angle formed at the centre is 150 degrees.

The diameter of the circle is 34 centimeters.

[tex]\Longrightarrow \displaystyle \frac{150}{360} \cdot \pi (34)[/tex]

[tex]\Longrightarrow \displaystyle \frac{85}{6} \pi[/tex]

[tex]\Longrightarrow 44.505896...[/tex]

The length of arc AB is 44.51 centimeters approximately.

[tex]\rule[225]{225}{2}[/tex]

Answer:

84

Step-by-step explanation:

Pretend her first 3 quizzes were all 83 since that was the average. So the 4th was 87.

83+83+83+87 = 336

Divide by the total number of quizzes because they are equally weighted.

336/4 = 84

Her new average score is 84.

Answer:

-1/18

Step-by-step explanation:

2/3n = -12

2 = -12 × 3n

2/-12 = 3n

-1/6 = 3n

or,

-1/6×3 = n

-1/18 = n

CHECK:

2/3n = -12

2/3(-1/18) = -12

2/(-1/6) = -12

2×6/-1 = -12

-12 = -12

n = -18 will make the equation true.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

Given the equation,

2/3n = -12

Multiply both sides by 3/2

(2/3) × (3/2)n = -12(3/2)

n = -6 × 3

n = -18

Hence "n = -18 will make the equation true".

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Answer:

Step-by-step explanation:

Interquartile R range of an ungrouped data is expressed as R = Q3-Q1 where;

Q3 is the third quartile

Q1 is the first quartile

Given the Car Dealership Number of Cars Sold GMC as 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72

First let us arrange them in ascending order;

72, 80, 81, 84, 92, 92, 94, 95

Q3 = 3(n+1)/4 th observation where n is the total number of cars

Q3 = 3(8+1)/4 = 27/4

Q3 = 6.75th observation

Q3 = 6th obsrvation - 0.75(7th observation - 6th observation)

Q3 = 92-0.75(94-92)

Q3 = 92-0.75(2)

Q3 = 90.5

The 6.75th observation of the data is 90.5

Q1 = (n+1)/4 th observation where n is the total number of cars

Q1 = (8+1)/4 = 9/4

Q1 = 2.25th observation

Q1 = 2nd observation - 0.25(3rd observation - 2nd observation)

Q1 = 80-0.25(81-80)

Q1 = 80-0.25(1)

Q1 = 79.75

Interquartile range = Q3 - Q1

Interquartile range = 90.5 - 79.75

Interquartile range = 10.75

Answer:

the answer is 12.5

Step-by-step explanation: i got it right on edge. :)

Answer:

- 1  3/4

Step-by-step explanation:

3/4 + -2 1/2

Get a common denominator of 4

3/4 - 2 1/2 *2/2

3/4 - 2 2/4

Rewriting

Subtracting since the signs are different and take the signs of the larger

2 2/4 - 3/4

Borrow from the 2

1  + 4/4 + 2/4  - 3/4

1 6/4 -3/4

1  3/4

The sign of the larger was negative  ( 2 1/2)

- 1  3/4

Answer:

Step-by-step explanation:

Use FOIL method

[tex](\sqrt{2} -1)(2-\sqrt{2})= \sqrt{2}*2 -\sqrt{2}*\sqrt{2} -1*2-1*(-\sqrt{2})\\\\\\=2\sqrt{2} - 2 -2 +\sqrt{2}[/tex]

Combine like terms

[tex]=2\sqrt{2} +\sqrt{2} - 2 -2\\\\\\=(2+1)\sqrt{2} - 4\\\\\\=3\sqrt{2}-4[/tex]

[tex]\frac{4}{2-\sqrt{2}}+\frac{5}{\sqrt{2} -1}=\frac{4*(\sqrt{2} -1)}{(2-\sqrt{2})*(\sqrt{2} -1)}+\frac{5*(2-\sqrt{2})}{(\sqrt{2} -1)(2-\sqrt{2})}\\\\\\=\frac{4\sqrt{2}-4+10-5\sqrt{2}}{(\sqrt{2} -1)(2-\sqrt{2})}[/tex]

[tex]=\frac{4\sqrt{2}-5\sqrt{2}-4+10}{3\sqrt{2}-4}\\\\\\=\frac{(4-5)\sqrt{2}+6}{3\sqrt{2}-4}\\\\\\=\frac{-1\sqrt{2}+6}{3\sqrt{2}-4}[/tex]

Answer:

Associative property of addition

Step-by-step explanation:

Answer:

x=0.0000−3.0000i

x=0.0000+3.0000i

Hoped I helped

Answer:

x  = 3√3 - 3

x  = -3√3 - 3

Step-by-step explanation:

(3+x)² + 9 = 36

(x + 3)² + 9 - 9 = 36 - 9

(x + 3)² = 27

x + 3 = 3√3

x + 3 = -3√3

therefore,

x  = 3√3 - 3

x  = -3√3 - 3

Answer: 11

Step-by-step explanation:

Given: Mr. Doss pulled out 16 negative counters and 27 positive counters.

In integers we use negative sign "-" to represent the negative quantities.

So, we can represent 16 negative counters as -16.

Now, combined value of the counters = (-16) + 27

= 27-16

= 11

Hence, the combined value of the counters is 11.

Answer:

5 nights

Step-by-step explanation:

39 divided by 3 = 13

so we divided 65 by 13 hence your answer 5 nights

Answer: 4x−2

Step-by-step explanation:

-2x+3-(5-6x) remove the parentheses

-2x+3-5+6x collect like terms

(−2x+6x)+(3−5) simplify to get 4x−2

Hope this helps, have a blessed and wonderful day! :-)

- Cutiepatutie

Answer:

4x - 2

Step-by-step explanation:

when there is a expression in parentheses, change the sign of each term in the expression

-2x + 3 - 5 + 6x

collect the like terms

-2x + 6x = 4x

3 - 5= -2

now put them together and you get

4x - 2

Answer:

sqrt of 3600 is a perfect square and sqrt of 3600 is a whole number. It is also Rational.

Step-by-step explanation:

We can compute the sqrt of 3600 (60). 60 is a whole number.

As we saw sqrt of 3600 is 60 so it is a perfect square.

60 is also a rational number too.

[tex]\sqrt{3600}[/tex] is a rational number, a perfect square and a whole number.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth.

Now the given number is,

⇒ [tex]\sqrt{3600}[/tex]

So, the square root of 3600 is 60.

Now, since 60 can be expressed in the form of a/b.

Thus [tex]\sqrt{3600}[/tex] is a rational number.

Since, [tex]\sqrt{3600} = [\sqrt{60} ]^2[/tex]

Thus, [tex]\sqrt{3600}[/tex] is perfect square.

Since, [tex]\sqrt{3600} =60[/tex]

Thus it is a whole number.

Therefore we can conclude that [tex]\sqrt{3600}[/tex] is a rational number, a perfect square and a whole number.

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Answer:

$ 5,500

Step-by-step explanation:

Simple, 1 kg = 1000 grams, so, 250 grams is a quarter, just divide the $22,000 by 4 = $ 5,500

Answer:

$5,600

Step-by-step explanation:

Answer:

[tex]=-3tv^2[/tex]

Step-by-step explanation:

So we have the expression:

[tex]\sqrt[3]{3t^4v^2}\sqrt[3]{-9t^{-1}v^4}[/tex]

To simplify, combine the two radicals. Since they have the same index, we can combine them. Thus:

[tex]=\sqrt[3]{(3t^4v^2)(-9t^{-1}v^4)}[/tex]

Combine like terms:

[tex]=\sqrt[3]{(3\cdot -9)(t^4\cdot t^{-1})(v^2\cdot v^4)}[/tex]

Multiply. When multiplying the exponents, simply add the exponents:

[tex]=\sqrt[3]{-27t^3v^6}[/tex]

Now, simplify. Note that -27 can be written as (-3)^3. t^3 can be written as (t)^3 and v^6 can be written as (v^2)^3. Thus:

[tex]=\sqrt[3]{(-3)^3(t)^3(z^2)^3}[/tex]

Combine them all under one exponent:

[tex]=\sqrt[3]{(-3tv^2)^3}[/tex]

Cancel out the cube root:

[tex]=-3tv^2[/tex]

And this is the simplest it can get.

And we are done :)

Edit: Typo

Answer:

-3v²t

Step-by-step explanation:

[tex]\sqrt[3]{3t^4v^2}  \sqrt[3]{-9t^-1v^4}[/tex]

= [tex]\sqrt[3]{3t} \sqrt[3]{v^2t} \sqrt[3]{-9v^4t^-1}[/tex]

= [tex]\sqrt[3]{3t} (-\sqrt[3]{9v^4/t)} \sqrt[3]{v^2t}[/tex]

= - [tex]\sqrt[3]{3t}  \sqrt[3]{v^2 9v^4/t}t[/tex]

= - [tex]\sqrt[3]{3}  \sqrt[3]{9t}  \sqrt[3]{v^6}[/tex]

= - [tex]\sqrt[3]{3*9}v^2t[/tex]

= - [tex]\sqrt[3]{27} v^2t[/tex]

= -3v²t

Answer:

221 cm

Step-by-step explanation:

perimeter = add all sides

P = 56 + 73 + 92

P = 221 cm

Answer:

221 centimeters

Step-by-step explanation:

When you solve perimeter, you add all sides.

92 + 73 = 165

165 + 56 = 221

So, your answer is 221. Hope this helps!

Answer: B: 241.93*

Step-by-step explanation:

4•12=48

129.95•48= 6237.60

6237.60 - 5995.67 = 241.93

Answer:

part 1: the french distinguish friends by using un ami for boys. they use une ami for girls, and des amis for friends. they distinguish best friends by saying un meilleur ami for boys, une meillure amie for girls, and des meilleures amies (or des meilleurs amis depending on the gender) for best friends.

part 2: they also use ami for friends (obviously) and connaissance for acquaintances.

Step-by-step explanation:

Answer:

Value of m = r / [p + z]  

Step-by-step explanation:

Given:

Equation:

mp + mz = r

Find:

Value of m

Computation:

⇒ mp + mz = r

⇒ m [p + z] = r

⇒ m = r / [p + z]

Value of m = r / [p + z]  

Answer:

exactly one solution

Step-by-step explanation:

HOPE THIS HELPS!!!!! :)

<3333333333

Answer: It has (No) solutions, A

Hope this helps!